The ratio of areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is
1
Expert's answer
2018-03-09T10:53:06-0500
Radius of the nth orbit is given as rn = (h2ϵ0/πme2) n2 For the ground state, n=1 For excited state, n=2 r2 = (h2ϵ0/πme2) n2 r1 = (h2ϵ0/πme2) n2 r2 / r1 = (h2ϵ0/πme2) n22 / (h2ϵ0/πme2) n12 r2 / r1 = n22 / n12 r2 / r1 = 22 / 12 r2 / r1 = 4 / 1 So the ratio between radii of the first orbital and the ground state radii is 4 / 1.
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